To determine what score you need on your next 100-point test to bring your average grade from 85% to 90%, we'll start by calculating your current total points and then figure out what you'll need after the next test.
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Calculate Current Points:
- You have 3 tests, and your average is 85%.
- Total points from 3 tests = 3 tests * 100 points each * 0.85 = 255 points.
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Desired Average:
- You want an average of 90% with 4 tests total.
- Total points needed for 4 tests = 4 tests * 100 points each * 0.90 = 360 points.
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Calculate Score Needed on 4th Test:
- Points you need from the 4th test = Total points needed for 4 tests - Current points
- Points needed = 360 points - 255 points = 105 points.
Since it's not possible to score more than 100 on a single test, achieving an average of 90% with an 85% average from 3 tests is impossible with only one more test.
You will either need to reconsider the grades of the past tests or focus on doing well in future assessments to boost your overall average.